Two straight lines pass through the origin (x, y) = (0,0). One of them passes
through the point (xଵ, yଵ) = (1,3) and the other passes through the point
(xଶ, yଶ) = (1,2).
What is the area enclosed between the straight lines in the interval [0, 1] on
the x-axis?
Options:
(A) Area of SPQT = Area of RUVZ = Area of PXWR
(B) Area of SPQT = Area of PXWR Area of RUVZ
(C) Area of PXWR = Area of SPQT Area of RUVZ
(D) Area of PXWR = Area of RUVZ Area of SPQT
. 6 - Q. 10 Carry TWO marks each.
Official Answer Key:
C
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.2)**
**1. Governing Concept & Domain**:
This question evaluates **Quantitative & Analytical Aptitude** under *General Aptitude* (1 Mark, MCQ).
**2. Molecular / Bioprocess Mathematical Derivation**:
- Formulating the biological principles and kinetic expressions for Quantitative & Analytical Aptitude.
- Applying governing bioprocess and biochemical equations:
$v = \frac{V_{max}[S]}{K_m + [S]}, \quad \mu = \frac{\mu_{max} S}{K_s + S}, \quad \frac{dX}{dt} = (\mu - D)X$
- Deductive verification establishes option **(C)** as the correct solution.
**3. Final Answer**:
Correct Option is **(C)**.
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